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This report proposes a novel framework for a rigorous robustness analysis of stochastic biochemical systems. The technique is based on probabilistic model checking. We adapt the general definition of robustness introduced by Kitano to the…

数值分析 · 计算机科学 2013-10-18 Lubos Brim , Milan Ceska , Sven Drazan , David Safranek

We develop and test algorithms to detect "Edgeworth cycles," which are asymmetric price movements that have caused antitrust concerns in many countries. We formalize four existing methods and propose six new methods based on spectral…

物理与社会 · 物理学 2022-07-12 Timothy Holt , Mitsuru Igami , Simon Scheidegger

Stochastic reaction networks are mathematical models frequently used in, but not limited to, biochemistry. These models are continuous-time Markov chains whose transition rates depend on certain parameters called rate constants, which…

概率论 · 数学 2025-08-14 Daniele Cappelletti , Aidan Howells , Chuang Xu

In this paper, we mainly study the robust stability of linear continuous systems with parameter uncertainties, a more general kind of uncertainties for system matrices is considered, i.e., entries of system matrices are rational functions…

符号计算 · 计算机科学 2010-03-17 Xiaorong Hou , Junwei Shao

We consider a fundamental pricing model in which a fixed number of units of a reusable resource are used to serve customers. Customers arrive to the system according to a stochastic process and upon arrival decide whether or not to purchase…

数据结构与算法 · 计算机科学 2020-02-12 Omar Besbes , Adam N. Elmachtoub , Yunjie Sun

Agricultural price volatility, driven by market dynamics and meteorological factors such as temperature and precipitation, poses challenges for sustainable finance, planning, and policy. This study analyzes the impact of climate on crop…

The correct understanding of commodity price dynamics can bring relevant improvements in terms of policy formulation both for developing and developed countries. Agricultural, metal and energy commodity prices might depend on each other:…

经济学 · 定量金融 2016-10-13 Luca Barbaglia , Ines Wilms , Christophe Croux

Electricity systems are experiencing increased effects of randomness and variability due to emerging stochastic assets. The increased effects introduce new uncertainties into power systems that can impact system operability and reliability.…

系统与控制 · 电气工程与系统科学 2022-11-10 Naeem Turner-Bandele , Amritanshu Pandey , Larry Pileggi

Agricultural production is affected by climate extremes, which are increasing because of global warming. This motivates the need of a proper evaluation of the agricultural production systems resilience to enhance food security, market…

Theoretical frameworks used to qualitatively and quantitatively describe nuclear dynamics in solids are often based on the harmonic approximation. However, this approximation is known to become inaccurate or to break down completely in many…

材料科学 · 物理学 2020-09-02 Florian Knoop , Thomas A. R. Purcell , Matthias Scheffler , Christian Carbogno

This paper is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part…

系统与控制 · 计算机科学 2016-11-18 Junlin Xiong , James Lam , Zhan Shu , Xuerong Mao

In this paper, we focus on the estimation of historical volatility of asset prices from high-frequency data. Stochastic volatility models pose a major statistical challenge: since in reality historical volatility is not observable, its…

计算金融 · 定量金融 2023-02-27 Camilla Damian , Rüdiger Frey

The electrical generation and transmission infrastructures of many countries are under increased pressure. This partially reflects the move towards low carbon economies and the increased reliance on renewable power generation systems. There…

物理与社会 · 物理学 2022-01-12 Corneliu Arsene

In a wide range of applications, the stochastic properties of the observed time series change over time. The changes often occur gradually rather than abruptly: the prop- erties are (approximately) constant for some time and then slowly…

统计方法学 · 统计学 2014-03-18 Michael Vogt , Holger Dette

Given a surface $M$ and a Borel probability measure $\nu$ on the group of $C^2$-diffeomorphisms of $M$, we study $\nu$-stationary probability measures on $M$. We prove for hyperbolic stationary measures the following trichotomy: either the…

动力系统 · 数学 2017-03-06 Aaron W. Brown , Federico Rodriguez Hertz

We study various probability measures for eternal inflation by applying their regularization prescriptions to models where inflation is not eternal. For simplicity we work with a toy model describing inflation that can interpolate between…

高能物理 - 理论 · 物理学 2014-11-21 Andrei Linde , Mahdiyar Noorbala

A useful sampling-reconstruction model should be stable with respect to different kind of small perturbations, regardless whether they result from jitter, measurement errors, or simply from a small change in the model assumptions. In this…

综合数学 · 数学 2007-05-31 E. costa-Reyes , A. Aldroubi , I. Krishtal

Resilience, the ability to recover from adverse events ("shocks"), is of fundamental importance to food security. This is especially true in poor countries, where basic needs are frequently threatened by economic, environmental, and health…

经济学 · 定量金融 2017-01-30 Matteo Smerlak , Bapu Vaitla

A general force-perturbation-based criterion for solid instability is proposed, which can predict instability including crease without priori knowledge of instability configuration. The crease instability is analyzed in detail, we found…

软凝聚态物质 · 物理学 2020-01-01 Pengfei Yang , Yaopeng Fang , Yanan Yuan , Shun Meng , Haroon Imtiaz , Bin Liu , Huajian Gao

As machine learning models become increasingly prevalent in critical decision-making models and systems in fields like finance, healthcare, etc., ensuring their robustness against adversarial attacks and changes in the input data is…

机器学习 · 统计学 2024-08-05 Arun Prakash R , Anwesha Bhattacharyya , Joel Vaughan , Vijayan N. Nair